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Home Aptitude Simplification Comments

  • Question
  • If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?


  • Options
  • A. k/2
  • B. 2k
  • C. (k ? 1)/2
  • D. (k + 1)/2

  • Correct Answer
  • (k ? 1)/2 

  • Tags: Bank Exams

    Simplification problems


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    • 1. Which of the following statement(s) is/are TRUE? I. 3/71 < 5/91 < 7/99 II. 11/135 > 12/157 > 13/181

    • Options
    • A. Only I
    • B. Only II
    • C. Both I and II
    • D. Neither I nor II
    • Discuss
    • 2. Which of the following statement(s) is/are TRUE? I . 11×3+13×5+15×7+...+111×13 = 1213 II. 11×2+12×3+13×4+...+112×13 = 1213

    • Options
    • A. Only I
    • B. Only II
    • C. Both I and II
    • D. Neither I nor II
    • Discuss
    • 3. Which of the following statement(s) is/are TRUE? I. ?(64) + ?(0.0064) + ?(0.81) + ?(0.0081) = 9.07 II. ?(0.010201) + ?(98.01) + ?(0.25) = 11.51

    • Options
    • A. Only I
    • B. Only II
    • C. Both I and II
    • D. Neither I nor II
    • Discuss
    • 4. A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

    • Options
    • A. 7 km/hr
    • B. 11 km/ hr
    • C. 26 km/hr.
    • D. 33 km/hr
    • Discuss
    • 5. If x = cosec? - sin? and y = sec? - cos?, then the relation between x and y is

    • Options
    • A. x2+ y2+ 3 =1
    • B. x2y2 (x2+ y2+3)=1
    • C. x2 (x2+ y2 - 5)=1
    • D. y2 (x2+ y2 - 5)=1
    • Discuss
    • 6. If x + y = 10 and xy = 4, then what is the value of x4 + y4 ?

    • Options
    • A. 8464
    • B. 8432
    • C. 7478
    • D. 6218
    • Discuss
    • 7. Which of the following statement(s) is/are TRUE? I. ?5 + ?5 > ?7 + ?3 II. ?6 + ?7 > ?8 + ?5 III. ?3 + ?9 > ?6 + ?6

    • Options
    • A. Only I
    • B. Only I and II
    • C. Only II and III
    • D. Only I and III
    • Discuss
    • 8. If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?

    • Options
    • A. 97
    • B. (2?3) + 2
    • C. (4?6) + 1
    • D. 98
    • Discuss
    • 9. If the difference between the roots of the equation Ax2 ? Bx + C = 0 is 4, then which of the following is TRUE?

    • Options
    • A. B2 ? 16A2 = 4AC + 4B2
    • B. B2 ? 10A2 = 4AC + 6A2
    • C. B2 ? 8A2 = 4AC + 10A2
    • D. B2 ? 16A2 = 4AC + 8B2
    • Discuss
    • 10. ? and ? are the roots of quadratic equation. If ? + ? = 8 and ? ? ? = 2?5, then which of the following equation will have roots ?4 and ?4 ?

    • Options
    • A. x2 ? 1522x + 14641 = 0
    • B. x2 + 1921x + 14641 = 0
    • C. x2? 1764x + 14641 = 0
    • D. x2+ 2520x + 14641 = 0
    • Discuss


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